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Agovernment’s department of transportation reported that in2009, airline A led all domestic airlines inon-time arrivals for domesticflights, with a rate of 0.8410.841. Using the binomialdistribution, what is the probability that in the next six flights, four flights will be on time?Using the binomial distribution, what is the probability that in the next six flights, all six flights will be on time?Using the binomial distribution, what is the probability that in the next six flights, at least four flights will be on time?What are the mean and standard deviation of the number of on-time arrivals? Let n=6The standard deviation of the number of on-time arrivals is?A P (X = 4), n = 6, p = 0.841 X ∼ Binomial(n = 6, p = 0.841)P (X = 4) = nx px (1−p)n−x = 64 (0.841)4 (1−0.841)6−4 = 15∗(0.841)4 (0.159)2 =0.189701 ≈ 0.189701 ≈ 0.190P (X = 4)…

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